106566 has 8 divisors (see below), whose sum is σ = 213144. Its totient is φ = 35520.

The previous prime is 106543. The next prime is 106591. The reversal of 106566 is 665601.

It is a sphenic number, since it is the product of 3 distinct primes.

106566 is an admirable number.

It is a super-2 number, since 2×106566² = 22712624712, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8875 + ... + 8886.

It is an arithmetic number, because the mean of its divisors is an integer number (26643).

2¹⁰⁶⁵⁶⁶ is an apocalyptic number.

106566 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106566 is a wasteful number, since it uses less digits than its factorization.

106566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17766.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106566 is about 326.4444822631. Note that the first 4 decimals coincide. The cubic root of 106566 is about 47.4103201727.

It can be divided in two parts, 10656 and 6, that multiplied together give a palindrome (63936).

The spelling of 106566 in words is "one hundred six thousand, five hundred sixty-six".